Question

A=sin^8 theta+cos^14 theta then for all real theta is​

Answer 1

Since, sin8θ≤sin2θ

cos14θ≤cos2θ

⇒sin8θ+cos14θ≤sin2θ+cos2θ=1

⇒A≤1

Also, A > 0 as A=0 if sinθ=cosθ=0 which is not possible.